Answer:
The table isn't shown, but f(0) will be found when you put zero in for x.
The population of a town is growing at a rate of 2.1% per year. Given a starting population of 40,000 people, when will the population double?
Answer:
48 years
Step-by-step explanation:
Find the area of the the regular polygon.
Answer:
Area of Regular Polygon = ( About ) 332.6 units^2; Option C
Step-by-step explanation:
~ Let us first declare consecutive notes. If we were to draw an altitude in this triangle, it would be perpendicular to the base, by definition. At the same time this shape is a regular polygon, so all sides ( and angles ) are ≅. This would mean that, by Coincidence Theorem, the altitude divides the base into the two ≅ parts. ~
1. If that is so, the altitude would split this base into parts ⇒ ( 16√3 )/2 = 8√3.
2. This would mean that the altitude can be found through Pythagorean Theorem, provided that by definition it forms a 90 degree angle at the base. Let us say x ⇒ the length of the altitude, ( 8√3 )^2 + ( x )^2 = ( 16√3 )^2 ⇒ 192 + x^2 = 768 ⇒ x^2 = 576 ⇒ length of altitude - 24 units
3. With the base 16√3 units, and the the altitude/height 24 units, we can find the area of this regular polygon to be ⇒ 1/2 * base * height ⇒ 1/2 * 16√3 * 24 ⇒ 192√3 units^2
4. That being said that area would be 192 * 1.732050808...... ⇒
Area of Regular Polygon = ( About ) 332.6 units^2
what is true about the equation y = 4x2 + 28x + 49
Answer:
What are the answer choices for this question. It would help me know what they are asking you to do.
Tenemos tres tipos de aceites, 5000 l de aceite tipo A, 2500 l de aceite tipo B y 245 l de aceite tipo C. Si los quiero envasar en recipientes de igual capacidad y los mas grandes posibles, ¿cuántos recipientes necesito?
Answer:
5 liters.Step-by-step explanation:
To solve this problem, we need to find the Greatest Common Factor (GCF) which is the greater factor possible in common for all three numbers 5000, 2500 and 245 liters.
5,000 | 2
2,500 | 2
1,250 | 2
625 | 5
125 | 5
25 | 5
5 | 5
1
So, [tex]5,000 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5[/tex], [tex]2,500 = 2 \times 2 \times 5 \times 5 \times 5 \times 5[/tex]
245 | 5
49 | 7
7 | 7
1
[tex]245 = 5 \times 7 \times 7[/tex]
As you can observe, the greatest common factor is 5, because it's the greater number in common for all three numbers.
Therefore, the greatest recipient possible must be 5 liters capacity.
A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. A line increases from 0 to 4 then decreases from 4 to 9. Which type of function best models the data shown on
Answer:
quadratic
Step-by-step explanation:
The Quadratic function is the best models for the given graph.
What is quadratic function?A quadratic function is a "polynomial function with one or more variable in which highest exponent of variable is two".
According to the question,
Horizontal axis or x-axis quadratic function of numbered 2-8 and vertical axis or y-axis quadratic function numbered to 10-50.
In order to find the best models function is quadratic function.
f(x) = ax²+bx+c a < 0
Domain = All real numbers
Range y ≤ f(-[tex]\frac{b}{2a}[/tex])
Increases on left of x = -[tex]\frac{b}{2a}[/tex]
Decreases on right of x = -[tex]\frac{b}{2a}[/tex]
The vertex of the parabola lies on the axis of the parabola so the graph of the quadratic function increases on one side axis and decreases on the other side.
Learn more about quadratic function here
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Find the percent of decrease from 84 gallons to 45 gallons. Round to the nearest tenth of a percent if necessary.
Answer:
0.5
Step-by-step explanation:
45/84=0.5357142857142857
1-0.5357142857142857=0.4642857142857143
Answer:
= 46%
Step-by-step explanation:
● Original = 84 gallons
● New = 45 gallons
● Decrease = 84 - 45 = 39 gallons
If 84 gallons = 100%
What about 39 gallons = ?
= (39 x 100) ÷ 84
= 3900 ÷ 84
= 46.42
= 46%
Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine
Answer: 40
Step-by-step explanation:
I can see the answer is 40, but let's try to figure out how to do it.
I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.
[tex]\frac{8}{x}=\frac{3}{15}[/tex]
''x'' represents the number of passes in 15 games.
Solve for x;
[tex]x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40[/tex]
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 22 feet and a height of 12 feet. Container B has a diameter of 18 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
Answer:
a) 4561.59 ft^3
b) 17.93 ft
Step-by-step explanation:
Given:-
- Container A and B are of cylindrical shape
- The diameter of container A, da = 22 ft
- The height of container A, ha = 12 ft
- The diameter of container B, db = 18 ft
- The height of container B, hb = 19 ft
- Container A is initially full while container B is empty.
- Water is pumped from container A to container B until container A is empty.
Find:-
a) The volume of water in container B
b) The level of water in container B
Solution:-
- The cylinder is initially full to the top. The volume of the water in container A takes the shape of container A. The volume of a cylindrical container is mathematically expressed as function of diameter and height, as follows:
[tex]V = \pi \frac{d^2}{4}*h[/tex]
- The volume of water in container A of diameter ( da ) and height ( ha ):
[tex]V_a = \pi \frac{d_a^2}{4}*h_a\\\\V_a= \pi \frac{22^2}{4}*12\\\\V_a = 4561.59253 ft^3[/tex]
- We are given that the water is pumped from the container A to B until all the water ( Volume ) is emptied from container A:
- The total amount of water available in container A, is V_a is all pumped into container B. Therefore, after the process of pumping container B will have the volume of water equivalent to the volume of water in container A before the pumping process started ( assuming no loss of water ):
[tex]V_b = V_a = 4561.59253 ft^3[/tex] .. Answer ( a )
- The volume of water contained in container also takes the shape of cylinder and can be expressed as:
[tex]V_b = \pi \frac{d_b^2}{4}*h\\\\h= \frac{4*V_b}{\pi*d_b^2 }\\\\h = \frac{4*4561.59253}{\pi*18^2 } \\\\ h = 17.926 ft[/tex]
Answer: The level of water in container B is h = 17.93 ft
what is the difference between very crowded and rowdy
Answer:
Crowded means full of people
Rowdy means noisy and disorderly.
Crowded and Rowdy are adjectives.
un autobus de linea hace cuatro viajes cada dia. en cada viaje transporta 119 viajeros. ¿ cuántos pasajeros transporta al dia?
Answer:
son 119 pasajeros por vieje y hace 4 viajes ,murtiplicas la cantidad de pasajeros por la cantidad de los viajes osea 119x4 el total seria:476 pasajeros
Enter the slope intercept equation of the line shown below
Answer:
y = -x + 1
Step-by-step explanation:
you know that it must be y = mx + b form so you know that b is the y-intercept and the only time it touches is on positive one so you know it needs a positive one. then to find the slope you need to use the two points that are given. Rise/Run(rise over run) it only goes up one and over -1 so divide and you get -1 for the slope.
hope this helps!
Find the solution to x^2+2=27
Answer:
x = 5
Step-by-step explanation:
x^2 +2 = 27
x^2 = 27 - 2
x^2 = 25
x = [tex]\sqrt{25\\\\}[/tex]
x = 5
Answer: x equals 5
Step-by-step explanation:
27 minus 2 is 25, the square root of 25 is five.
Felipe dice que su calculadora no funciona. Para cambiar solo el 9 del 39.200 sumó 1.000 pero obtuvo 40.200. ¿Cómo le explicarías a Felipe por qué no cambió solo el 9?
Answer:
Felipe dio un paso incorrecto de acuerdo con el sistema de valor posicional al sumar la suma de 1,000 a 39,200. La manera correcta en que Felipe debe abordar esto se muestra en la explicación a continuación.
Step-by-step explanation:
En el sistema de valor posicional; cada número representa una entidad particular; ya sea unidad, decenas, cientos, mil, diez mil etc. En la pregunta dada, el número 39200 indica que 9 está en el valor posicional de mil, es decir, 9000.
Entonces, si Felipe desea cambiar de 8 a 9, entonces necesita restar 9000-8000 = 1000
Sin embargo; si quiere cambiar 9 a cero; entonces restará 9000 de 9000; pero ya que 9 no funciona; Primero debe restar 8000 y luego restar 1000.
Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine this area.
Answer:
Using Geometry to answer the question would be the simplest:
Step-by-step explanation:
Remembering the formula for the area of a triangle which is [tex]A=\frac12bh[/tex]. One can then tackle the question by doing the following:
Step 1 Find the y-intercepts
The y-intercepts are found by substituting in [tex]x=0[/tex].
Which gives you this when you plug it into both equations:
[tex]-y=1\\y=-1\\y=8[/tex]
So the y-intercepts for the graphs are [tex](0,-1)\\[/tex], and [tex](0,8)[/tex] respectively.
Now one has to use elimination to solve the problems by adding up the equations we get:
[tex]x-y=1\\2x+y=8\\3x=9\\x=3[/tex]
Now to solve for the y component substitute:
[tex]2(3)+y=8\\y=2[/tex]
Therefore, the graphs intersect at the following:
[tex](3,2)[/tex]
Now we have our triangle which is accompanied by the graph.
now to solve it we must figure out how long the base is:
[tex]b=8-(-1)\\b=9[/tex]
The height must also be accounted for which is the following:
[tex]h=3[/tex]
Now the formula can be used:
[tex]A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2[/tex]
Answer: 13.5 units²
Step-by-step explanation:
Geometry Solution:
The base is along the y-axis from -1 to 8 = 9 units
The height is the largest x-value = 3
[tex]Area=\dfrac{base\times height}{2}\quad =\dfrac{9\times 3}{2}\quad =\dfrac{27}{2}\quad =\large\boxed{13.5}[/tex]
Calculus Solution:
[tex]\int^3_0[(-2x+8)-(x-1)]dx\\\\\\=\int^3_0(-3x+9)dx\\\\\\=\bigg(\dfrac{-3x^2}{2}+9x\bigg)\bigg|^3_0\\\\\\=\bigg(\dfrac{-3(3)^2}{2}+9(3)\bigg)-\bigg(\dfrac{-3(0)^2}{2}+9(0)\bigg)\\\\\\=\dfrac{-27}{2}+27-0-0\\\\\\=\dfrac{27}{2}\quad =\large\boxed{13.5}[/tex]
From end zone to end zone, a football field is 120 yards long. How long is the
football field in feet?
1) 360 feet
)) 40 feet
(1) 60 feet
()) 240 feet
Answer:
120x3 = 360
Step-by-step explanation:
Answer:
360 I GOT IT RIGHT!!!
Step-by-step explanation:
Rewrite the equation by completing the square.
2 x^2 -11 x +14 = 0
Answer:
x^2 - (11/2)x + 121/16 = -7
Step-by-step explanation:
Someone help pleaseeee!!!!!!!!!!!
Answer:
(-1,2)
Step-by-step explanation:
The solutions to the system is where the lines intersect
The lines intersect at the point (-1,2)
all square numbers from 1 to 15
Answer:
1,4,9Step by step explanation
[tex] {1}^{2} = 1 \times 1 = 1 \\ {2}^{2} = 2 \times 2 = 4 \\ {3}^{2} = 3 \times 3 = 9 \\
{4}^{2} = 4 \times 4 = 16 \\ {5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49 \\ {8}^{2} = 8 \times 8 = 64 \\ {9}^{2} = 9 \times 9 = 81 \\ {10}^{2} = 10 \times 10 = 100 \\ {11}^{2} = 11 \times 11 = 121 \\ {12}^{2} = 12 \times 12 = 144 \\ {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ {15}^{2} = 15 \times 15 = 225[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box.
Answer:
Despite the full question not being in place the anwser your looking for is 10 inches.
Answer:
10 inches
Step-by-step explanation:
What is the value of x
Answer: 0
Step-by-step explanation:
Evaluate for x =64
64 − 64
Answer:
x=29
Step-by-step explanation:
The first triangle:the unknown angle is 58°
180°-58=122
122+2x=180
2x=180-122
2x=58
x=58/2=29°
What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?
52.5 in2
21 in2
105in2
10.5 in2
Answer:
The area of the pentagon is 52.5 in²
Step-by-step explanation:
The area of a regular pentagon is given by:
area = (5*l*a)/2
Where l is the length of each side and a is the length of the apothem. Applying the data from the problem we have:
area = (5*5*4.2)/2
area = (105)/2
area = 52.5 in²
The area of the pentagon is 52.5 in²
The height of players on a football team is normally distributed with a mean of 74 inches, and a standard deviation of 1 inch. If there are 50 football players on the team, how many are less than 74 inches tall?
Answer:
Step-by-step explanation:
Let x be the random variable representing the height of players on the football team. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 74 inches
σ = 1 inch
n = 50
x = 74 inches
the probability that a player is less than 74 inches tall is expressed as
P(x < 74)
For x = 74,
z = (74 - 74)/(1/√50) = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
Therefore,
P(x < 74)
The players less than 74 inches is
0.5 × 50 = 25 players
What are the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
Answer:
(-5 , 0) and (6 , 0)
Step-by-step explanation:
In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
we need to solve for x the equation (x-6)(x+5) = 0
(x-6)(x+5) = 0
⇌
x - 6 = 0 or x + 5 = 0
⇌
x = 6 or x = -5
therefore
the coordinates are :
(-5 , 0) and (6 , 0)
__________________________
:)
Please help! Correct answers only please!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.
Answer:
1/6
Step-by-step explanation:
Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!
In a newspaper,it was reported that the number of yearly robberies in springfield in 2011 was 240, and then went up by 5% in 2012.How many robberies were there in springfield in 2012?
Answer:
There were 252 robberies in 2012.
Step-by-step explanation:
Number of robberies in 2011 = 240
5% Increase =
[tex]5/100*240=12[/tex]
Therefore, new number of robberies in 2012 =
[tex]240+12=252[/tex].
To confirm this figure, we use the formula,
% increase = Increase / Original number * 100
Increase= 12
Original number= 240
Therefore,
12 / 240*100 = 5
This confirms that, indeed, there was a 5% increase in 2012.
WHAT IS 5 times negative 1 and 2/5
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST AND TONS OF POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE SHOW YOUR WORK
Answer:
-7
Step-by-step explanation:
5*-1 2/5=-7
5*-1=-5
-2/5*5=-2
5+2=-7
Square root of 72x^2 z^3
A tennis ball is 4 centimeters in diameter. What is the surface area of this ball?
Answer:
The answer is approximately 50.27cm²
Answer:
Here is the solution of your problem.
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Find the approximate height of the cylinder. Use 3.14 for π.
Volume = 146.952 cm3 A cylinder is shown. The diameter is labeled six centimeters.
Answer: The height is 5.2 cm.
Step-by-step explanation:
146.952 = n r^2 h
146.952= 3.14 * 9 *h
146.952= 28.26 h divide both sides by 28.26
h = 5.2
Find the value of m, if (3/5) raise to −3 multiply 5/3 raise to 11 equals 3/5 raise to 3m+1
Answer:
[tex]m=-5[/tex]
Step-by-step explanation:
[tex]\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}=\left(\frac{3}{5}\right)^{3m+1}\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\ln \left(\left(\frac{3}{5}\right)^{3m+1}\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]
[tex]\ln \left(\left(\frac{3}{5}\right)^{3m+1}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right)\\\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right)\\\mathrm{Solve\:}\:\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right):\quad m=\frac{14\ln \left(5\right)-14\ln \left(3\right)-\ln \left(\frac{3}{5}\right)}{3\ln \left(\frac{3}{5}\right)}[/tex]
[tex]m=\frac{14\ln \left(5\right)-14\ln \left(3\right)-\ln \left(\frac{3}{5}\right)}{3\ln \left(\frac{3}{5}\right)}\\\mathrm{Decimal}:\quad m=-5[/tex]